Information on Result #678105
Linear OA(4241, 1048576, F4, 33) (dual of [1048576, 1048335, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4251, 1048586, F4, 34) (dual of [1048586, 1048335, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4242, 1048587, F4, 33) (dual of [1048587, 1048345, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(4242, 1048597, F4, 32) (dual of [1048597, 1048355, 33]-code) | [i] | ✔ | |
| 4 | Linear OA(4244, 1048597, F4, 33) (dual of [1048597, 1048353, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(4245, 1048600, F4, 33) (dual of [1048600, 1048355, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(4246, 1048611, F4, 33) (dual of [1048611, 1048365, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(4254, 1048639, F4, 33) (dual of [1048639, 1048385, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(4251, 1048636, F4, 32) (dual of [1048636, 1048385, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(4250, 1048627, F4, 32) (dual of [1048627, 1048377, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(4260, 1048663, F4, 32) (dual of [1048663, 1048403, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(4242, 1048608, F4, 31) (dual of [1048608, 1048366, 32]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 12 | Linear OOA(4241, 524288, F4, 2, 33) (dual of [(524288, 2), 1048335, 34]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(4241, 349525, F4, 3, 33) (dual of [(349525, 3), 1048334, 34]-NRT-code) | [i] | ||